Answer:
It's choice 2. c = 3 sin 45 / sin 40.
Step by-step explanation:
m< A = 180 - 45-95
= 180 - 140
= 40 degrees.
So by the Sine Rule:
c / sin 45 = 3 / sin A
Cross multiply:
c sin A = 3 sin 45
c = 3 sin 45 / sin 40.
9514 1404 393
Answer:
486 square units
Step-by-step explanation:
Use the surface area formula with the given numbers.
SA = 2(LW +H(L +W))
SA = 2(12·6 +9.5(12 +6)) = 2(72 +9.5(18)) = 486
The surface area of the box is 486 square units.
To find the volume multiply the length by the width by the depth.
Volume = 164 x 82 x 6 = 80,688 cubic feet.
Answer:
The horse-drawn carriage tour company can expect to take in $6960 when the charge per customer is $60.
Step-by-step explanation:
p(2) = 120 -2·2 = 116 . . . . . expected number of customers per day
c(2) = 50 +5·2 = 60 . . . . . . charge per customer
Then ...
(p·c)(2) = p(2)·c(2) = 116·60 = 6960 . . . . revenue for the day
Y = ln |1 + t - t^3| = (1 - 3t^2)/(1 + t - t^3)